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Finding the Third Proportional to 405,063 and 886,373

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Solution

The third proportional to 405,063 and 886,373 is: 1,939,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,063 : 886,373 = 886,373 : x
  2. Step 2: Convert to fraction form
    405,063/886,373 = 886,373/x
  3. Step 3: Cross multiply
    405,063x = 886,373 × 886,373
  4. Step 4: Simplify right side
    405,063x = 785,657,095,129
  5. Step 5: Solve for x
    x = 785,657,095,129/405,063
  6. Step 6: Final answer
    x = 1,939,592.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.